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Article Dans Une Revue Comptes rendus de l'Académie des sciences. Série I, Mathématique Année : 1997

Determination of the space of inextensional displacements of a partially clamped, linearly elastic shell with a uniformly elliptic middle surface

Résumé

We consider a linearly elastic loaded shell with a uniformly elliptic middle surface, clamped along a portion of its lateral boundary. Under some regularity assumptions on the middle surface, we prove that the space of the inextensional displacements is reduced to zero, by using unique continuation results. Consequently, when the thickness of the shell goes to zero, the limit of the average, with respect to the thickness, of the three-dimensional displacement vector, solves the `generalized membrane' shell model, under some asymptotic assumptions on the loads.

Dates et versions

hal-01478583 , version 1 (28-02-2017)

Identifiants

Citer

Véronique Lods, Cristinel Mardare. Determination of the space of inextensional displacements of a partially clamped, linearly elastic shell with a uniformly elliptic middle surface. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1997, 324, pp.1315-1320. ⟨10.1016/S0764-4442(99)80419-4⟩. ⟨hal-01478583⟩
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